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Finding the Fourth Proportional to 210,224.78, 315,149.67 and 77,074.01

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Solution

The fourth proportional to 210,224.78, 315,149.67 and 77,074.01 is: 115,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,224.78 : 315,149.67 = 77,074.01 : x
  2. Step 2: Convert to fraction form
    210,224.78/315,149.67 = 77,074.01/x
  3. Step 3: Cross multiply
    210,224.78x = 315,149.67 × 77,074.01
  4. Step 4: Simplify right side
    210,224.78x = 24,289,847,241.33
  5. Step 5: Solve for x
    x = 24,289,847,241.33/210,224.78
  6. Step 6: Final answer
    x = 115,542.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.